45564792 has 128 divisors (see below), whose sum is σ = 144936960. Its totient is φ = 11612160.

The previous prime is 45564787. The next prime is 45564803. The reversal of 45564792 is 29746554.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67368 + ... + 68040.

It is an arithmetic number, because the mean of its divisors is an integer number (1132320).

Almost surely, 2^45564792 is an apocalyptic number.

45564792 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45564792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72468480).

45564792 is an abundant number, since it is smaller than the sum of its proper divisors (99372168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45564792 is a wasteful number, since it uses less digits than its factorization.

45564792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 729 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 45564792 is about 6750.1697756427. The cubic root of 45564792 is about 357.1712256018.

The spelling of 45564792 in words is "forty-five million, five hundred sixty-four thousand, seven hundred ninety-two".